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Dynamic analysis of multi‐walled carbon nanotubes using the spline collocation method
Author(s) -
Hsu MingHung
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1356
Subject(s) - carbon nanotube , collocation (remote sensing) , collocation method , materials science , stiffness , vibration , partial differential equation , van der waals force , spline (mechanical) , mathematics , differential equation , nanotechnology , composite material , computer science , mathematical analysis , structural engineering , engineering , physics , ordinary differential equation , quantum mechanics , machine learning , molecule
This work investigates multi‐walled carbon nanotube frequencies via continuum mechanics‐based spline collocation simulations using nanobeam‐bending models. This modeling approach is suitable for the development of multi‐walled carbon nanotube applications. The spline collocation procedure converts partial differential equations of vibration problems of multi‐walled carbon nanotubes into a discrete eigenvalue problem. The effects of surrounding elastic medium stiffness and the van der Waals forces on the dynamic behavior of multi‐walled carbon nanotubes are investigated. Copyright © 2010 John Wiley & Sons, Ltd.